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Formal Concept Analysis (FCA) is a mathematical framework for knowledge representation and discovery. It performs a hierarchical clustering over a set of objects described by attributes, resulting in conceptual structures in which objects…

Artificial Intelligence · Computer Science 2025-08-12 Jessie Galasso

Formal Concept Analysis (FCA) is an approach to creating a conceptual hierarchy in which a \textit{concept lattice} is generated from a \textit{formal context}. That is, a triple consisting of a set of objects, $G$, a set of attributes,…

Logic in Computer Science · Computer Science 2024-10-08 Lucas Carr , Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph

This paper is a tutorial on Formal Concept Analysis (FCA) and its applications. FCA is an applied branch of Lattice Theory, a mathematical discipline which enables formalisation of concepts as basic units of human thinking and analysing…

Information Retrieval · Computer Science 2017-03-09 Dmitry I. Ignatov

Formal Concept Analysis (FCA) is a mathematical theory based on the formalization of the notions of concept and concept hierarchies. It has been successfully applied to several Computer Science fields such as data mining,software…

Artificial Intelligence · Computer Science 2009-05-29 Leonard Kwuida , Rokia Missaoui , Lahcen Boumedjout , Jean Vaillancourt

Formal concept analysis (FCA) is built on a special type of Galois connections called polarities. We present new results in formal concept analysis and in Galois connections by presenting new Galois connection results and then applying…

Other Computer Science · Computer Science 2013-09-23 Jeffrey T. Denniston , Austin Melton , Stephen E. Rodabaugh

Formal concept analysis (FCA) is a useful mathematical tool for obtaining information from relational datasets. One of the most interesting research goals in FCA is the selection of the most representative variables of the dataset, which is…

Data Structures and Algorithms · Computer Science 2024-09-25 Roberto G. Aragón , Jesús Medina , Eloísa Ramírez-Poussa

In order to address complex systems, apply pattern recongnition on their evolution could play an key role to understand their dynamics. Global patterns are required to detect emergent concepts and trends, some of them with qualitative…

Artificial Intelligence · Computer Science 2011-08-05 Gonzalo A. Aranda-Corral , Joaquín Borrego-Díaz , Juan Galán-Páez

Formal Concept Analysis (FCA) offers several tools for qualitative data analysis. One possibility is to group objects that share common attributes together and get a concept lattice that describes the data. Quite often the size of this…

Logic · Mathematics 2017-09-26 Leonard Kwuida , Rostand Kuitché , Romuald Temgoua

Formal Concept Analysis "FCA" is a data analysis method which enables to discover hidden knowledge existing in data. A kind of hidden knowledge extracted from data is association rules. Different quality measures were reported in the…

Information Theory · Computer Science 2010-08-24 Dhouha Grissa , Sylvie Guillaume , Engelbert Mephu Nguifo

We present a novel approach to the automatic acquisition of taxonomies or concept hierarchies from a text corpus. The approach is based on Formal Concept Analysis (FCA), a method mainly used for the analysis of data, i.e. for investigating…

Artificial Intelligence · Computer Science 2011-09-13 P. Cimiano , A. Hotho , S. Staab

Formal concept analysis (FCA) is a well-founded method for data analysis and has many applications in data mining. Pattern structures is an extension of FCA for dealing with complex data such as sequences or graphs. However the…

Discrete Mathematics · Computer Science 2015-06-17 Aleksey Buzmakov , Sergei O. Kuznetsov , Amedeo Napoli

Formal Concept Analysis starts from a very basic data structure comprising objects and their attributes. Sometimes, however, it is beneficial to also define attributes of attributes, viz., meta-attributes. In this paper, we use Triadic…

Logic · Mathematics 2024-08-12 Yingjian Wang

Despite the popularity of Formal Concept Analysis (FCA) as a mathematical framework for data analysis, some of its extensions are still considered arcane. Polyadic Concept Analysis (PCA) is one of the most promising yet understudied of…

Discrete Mathematics · Computer Science 2022-03-29 Alexandre Bazin , Giacomo Kahn , Camille Noûs

Formal Concept Analysis (FCA) provides a method called attribute exploration which helps a domain expert discover structural dependencies in knowledge domains that can be represented by a formal context (a cross table of objects and…

Artificial Intelligence · Computer Science 2022-06-02 Maximilian Felde , Gerd Stumme

Software testing uses wide range of different tools to enhance the complicated process of defining quality of the system under test. Formal Concept Analysis (FCA) provides us with algorithms of deriving formal ontology from a set of objects…

Software Engineering · Computer Science 2015-05-07 Fedor Strok

The vast growth of data has rendered traditional manual inspection infeasible, necessitating the adoption of computational methods for efficient data exploration. Topic modeling has emerged as a powerful tool for analyzing large-scale…

Artificial Intelligence · Computer Science 2025-06-30 Klara M. Gutekunst , Dominik Dürrschnabel , Johannes Hirth , Gerd Stumme

A well-known knowledge acquisition method in the field of Formal Concept Analysis (FCA) is attribute exploration. It is used to reveal dependencies in a set of attributes with help of a domain expert. In most applications no single expert…

Artificial Intelligence · Computer Science 2022-12-09 Maximilian Felde , Gerd Stumme

Formal Concept Analysis (FCA) allows to analyze binary data by deriving concepts and ordering them in lattices. One of the main goals of FCA is to enable humans to comprehend the information that is encapsulated in the data; however, the…

Artificial Intelligence · Computer Science 2021-07-02 Dominik Dürrschnabel , Maren Koyda , Gerd Stumme

Formal Concept Analysis and its associated conceptual structures have been used to support exploratory search through conceptual navigation. Relational Concept Analysis (RCA) is an extension of Formal Concept Analysis to process relational…

Databases · Computer Science 2018-03-22 Alexandre Bazin , Jessie Carbonnel , Marianne Huchard , Giacomo Kahn

In this paper the problems of deriving a taxonomy from a text and concept-oriented text segmentation are approached. Formal Concept Analysis (FCA) method is applied to solve both of these linguistic problems. The proposed segmentation…

Computation and Language · Computer Science 2010-10-13 Mihaiela Lupea , Doina Tatar , Zsuzsana Marian
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